robotic lawnmower, moves at directions of multiples of 60^o, at most 10 m
Source: 2013 (-14) Swedish Mathematical Competition p4
August 31, 2020
geometrycombinatoricscombinatorial geometry
Problem Statement
A robotic lawnmower is located in the middle of a large lawn. Due a manufacturing defect, the robot can only move straight ahead and turn in directions that are multiples of . A fence must be set up so that it delimits the entire part of the lawn that the robot can get to, by traveling along a curve with length no more than meters from its starting position, given that it is facing north when it starts. How long must the fence be?